JF,
Overall, I agree totally with what you have said, but with just one small caveat. "...slamming full power.." may not be a good idea as some types have a strong pitch up with power (which could make recovery more difficult) and some produce so much yaw (due to propwash) and torque that you can have insufficient aileron and rudder authority for control. Perhaps "...select full power as quickly as practicable..." would be more appropriate.
Rgds
L